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Finding the Fourth Proportional to 521.64, 720.90 and 417.96

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Solution

The fourth proportional to 521.64, 720.90 and 417.96 is: 577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.64 : 720.90 = 417.96 : x
  2. Step 2: Convert to fraction form
    521.64/720.90 = 417.96/x
  3. Step 3: Cross multiply
    521.64x = 720.90 × 417.96
  4. Step 4: Simplify right side
    521.64x = 301,307.36
  5. Step 5: Solve for x
    x = 301,307.36/521.64
  6. Step 6: Final answer
    x = 577.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.